3. Modeling A#

3.1. Characteristics of modeling#

2D modeling in plane deformations. This modeling corresponds to methodology 3 from the documentation [U2.04.06]: excavation with support with constraint initialization by calling CREA_CHAMP and deconfinement using a method of chaining models.

_images/Object_73.svg

3.2. Characteristics of the mesh#

Number of nodes:

8477

Number of meshes:

3304 type QUAD8

3.3. Calculation process#

The objective of this test case is to test a method. The following table shows the main steps that structure the command file.

Orders

Reviews

CREA_CHAMP

Initialization of geostatic constraints (here isotropic \(5\mathrm{MPa}\) in compression)

STAT_NON_LINE

Blocking the nodes in the gallery to calculate the nodal reactions to be injected to simulate deconfinement

CREA_CHAMP

Recovery of nodal reactions

STAT_NON_LINE

Reinjecting nodal reactions

STAT_NON_LINE

Intermediate calculation to go from a model without a mesh representing concrete segments to a model with cells representing them (see [bib2])

STAT_NON_LINE

Progressive deconfinement of the Massif

3.4. Tested sizes and results#

After the installation of the coating (final moment), the components \({\sigma }_{\mathrm{xx}}\) and \({\sigma }_{\mathit{yy}}\) are tested at the nodes \(\mathrm{N2}\) and \(\mathrm{N6}\) as well as the radial displacement at these points (\(\mathrm{DX}\) for \(\mathrm{N2}\), \(\mathrm{DY}\) for \(\mathit{N6}\)).

Reference

Aster

Difference (%)

Knot \(\mathrm{N2}\)

_images/Object_81.svg

-1,52821.106

-1,53154.106

0.218

_images/Object_82.svg

-8,47179,106

-8.52772.106

0.660

\(\mathrm{DX}\)

-1,6925.10-3

-1,6684.10-3

-1.422

Knot \(\mathrm{N6}\)

_images/Object_85.svg

-8,47179,106

-8,41147.106

-0.712

_images/Object_86.svg

-1,52821.106

-1,52943.106

0.080

\(\mathrm{DY}\)

-1,6925.10-3

-1.7184.10-3

1,529